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2 years ago

A rectangular picture frame measures 57 cm by 39 cm. What is the perimeter or distance around the picture frame in meters?

Mathematics

2 answers:

Tamiku [17]2 years ago

8 0

The answer is 192 cm

Svetlanka [38]2 years ago

4 0

(57*2)+(39*2)=192cm now that we have the perimeter we divide it by 100 because 100cm equal one meter so therefore u should get 1.92 meters and if u want it in fraction form 1 4/25 meters

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Taylin buys 5 ounces of tea leaves for $2.35. At this rate, how much money does she need to buy 12 ounces of tea leaves? (second

MissTica

Answer:

see below

Step-by-step explanation:

We can determine how much 12 ounces cost by using ratios

5 ounces 12 ounces

-------------- = -------------------

2.35 x

Using cross products

5x = 12*2.35

5x = 28.2

Divide each side by 5

5x/5 = 28.2/5

x =5.64

If she has 10 dollars

5 ounces y ounces

-------------- = -------------------

2.35 10

5*10 = 2.35y

50 = 2.35y

Divide each side by 2.35

50/2.35 = 2.35y/2.35

21.27659574 =y

She can buy 21.3 ounces

7 0

2 years ago

Read 2 more answers

A zoo has 151515 Emperor penguins. The Emperor penguins make up 30\%30%30, percent of all the penguins at the zoo.

Fiesta28 [93]

Answer:

50 total penguins

Step-by-step explanation:

In the following example x = the total number of penguins.

Set it up as follows.

15 over x = 30 over 100

Cross multiply the numbers. (30 times x) and (15 times 100)

This results in 30x = 1500.

Divide both sides by 30 which results in x = 50.

This means that there is a total of 50 penguins.

In the following example x = the number of Emperor penguins.

If you would like to double check this, set up as follows.

x over 50 = 30 over 100

Cross multiply the numbers. (30 times 50) (100 times x)

This results in 100x = 1500.

Divide both sides by 100 which results in x =1 5.

This means that there are 15 Emperor penguins.

6 0

3 years ago

Read 2 more answers

Round 111.11111 to the nearest ten thousandth.

marishachu [46]

One tenth is 0.1. One hundredth is 0.01. Therefore, one ten thousandth is 0.00001. The answer is 111.11111.

5 0

2 years ago

Read 2 more answers

The curve y = |x|/ 5 − x2 is called a bullet-nose curve. find an equation of the tangent line to this curve at the point (2, 2).

diamong [38]

We have the following curve:

$y=\frac{\left | x \right |}{5-x^2}$

So we need to find an equation of the tangent line to this curve at the point $(2,2)$ . So let's find out if this point, in fact, belongs to the curve:

 $If \ x=2 \\ \\ y=\frac{\left | 2 \right |}{5-2^2}=\frac{\left | 2 \right |}{5-4}=2$ .

We also know that:

 $\left | x \right |= \left \{ {{x \ if \ x \ \geq 0} \atop {-x \ if \ x\ \textless \ 0}} \right.$ 

Given that the point is:

 $(2,2)\ that \ is: \\ x=2\ \textgreater \ 0$

Then we will say that:

$\left | x \right |=x$

Therefore:

$y=\frac{x}{5-x^2}$

Computing the derivative:

$y=\frac{x}{5-x^2} \\ \frac{dy}{dx}= \frac{(1)(5-x^2)-(-2x)x}{(5-x^2)^2}=\frac{5+x^2}{(5-x^2)^2}$

So the derivative solved for $x=2$ is in fact the slope of the line at the point $(2,2)$ , then:

$\frac{dy}{dx} |_{x=2}=\frac{5+x^2}{(5-x^2)^2}|_{x=2}=\frac{5+2^2}{(5-2^2)^2}=9 \\ \\ \therefore m=\frac{dy}{dx} |_{x=2}=9$

Finally, the tangent line is:

$y-y_1=m(x-x_1) \\ \therefore y-2=9(x-2) \\ \therefore \boxed{y=9x-16}$

This is shown in the figure below.

8 0

3 years ago

Please solve all of it

lukranit [14]

Answer:

a=f/3

b=8or it g

gf/3

c=-3gx*2

bonus=f(x)=h(−4x)

Step-by-step explanation:

5 0

2 years ago